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Abstract
The path-independent M-integral plays an important role in analysis of solids with inhomogeneities. However, the available applications are almost limited to linear-elastic or physically non-linear power law type materials under the assumption of infinitesimal strains. In this paper we formulate the M-integral for a class of hyperelastic solids undergoing finite anti-plane shear deformation. As an application we consider the problem of rigid inclusions embedded in a Mooney–Rivlin matrix material. With the derived M-integral we compute weighted averages of the shear stress acting on the inclusion surface. Furthermore, we prove that a system of rigid inclusions can be replaced by one effective inclusion.
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Authors (2)
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Konstantin Naumenko Dr.
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2023.104009
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
no. 196,
ISSN: 0020-7225 - Language:
- English
- Publication year:
- 2024
- Bibliographic description:
- Eremeev V., Naumenko K.: M-integral for finite anti-plane shear of a nonlinear elastic matrix with rigid inclusions// INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE -, (2024), s.`-14
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2023.104009
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
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